To check if the function xe = x -y is a solution of a first-order differential equation, student needs to find its derivative. What will be the answer for this step? dy 1-e dz rel+2y dy 1-+re" %3D dz 1-ze 土 dy dz e+re" 1-2y « Previous Next » Not saved Submit Quiz 99+

Q: What is the differential equation that is obtained by transforming the differential equation (image…

A: Equation contains u and x.

Q: (3y²-x²» = 0 ;when x = 1, y = 1 2y4

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Q: 3. у'-4у+3у3D 2 сos x + 4sin x

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Q: Q2. Find the value of first and second derivative For the equation x² + xy-y²³ = 2/₂² at (1,1). 3 ऋ

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Q: find a particular solution yp of the given equation. In all these problems, primes denote…

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Q: Find the general solution of the linear differential equation ydx + xdy - x^3e^(-x^2)dx + 2x^2ydx =

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Q: Find the differential equation whose solution is given by: y^2=4ax

A: To find the differential equation for y2=4ax differentiating this equation with respect to x.

Q: 7.3 = x + 2y x-2y y'

A: This question can be solved using the concept of differentiation.

Q: What differential equation has general solution  y=c1e^(5t)+c2te^(5t)?

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Q: Find x and y for which the following equation is satisfied: x+2 = - 5+i i-5

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Q: Find the solution of the differential equation that satisfies the given initial condition. (Write…

A: The given differential equation is; 5xcos(x) =[2y+e^(3y)]y', y(0)=0.

Q: (4x'у — 15х? — у )ӑx +x* +3у? - х)dy-0

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Q: Bernoulli's Equation Solve (dy/dx) - (y/x) = y2e^(x2) %3D

A: The Bernouilli ODE is in the form ofy'+p(x)y=q(x)ynAnd the solution is obtained by…

Q: Find the ditterential of the function y = (x + 1(5x - 3). Sx-x-5 dy = (Sx - 3) *?+ 6x-5 (5x- 3)? dy…

A: Use the quotient rule of differentiation ddxuv=vdudx-udvdxv2. Power rule of differentiation…

Q: Find the solution of the differential equation using Variation of Parameters.

A: Given differential equation is y'''-3y''+3y'=exx The solution of the differential equation using…

Q: To make the differential equation 2ydx + xdy - x^3dx = 0 exact, what must be the integrating…

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Q: The rate of change of a population of bacteria in a petri-dish can be described as the difference…

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Q: How do you solve y'' + 7y' + 6y = te^-t?

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Q: Q1\ A 200°F cup of tea left in 65°F room. At time initially the tea is cooling at 5 °F per minute.…

A: The rate of cooling is directly proportional to the rate of temperature difference between the…

Q: Find the differential equation of family of lines whose angle of inclination is 60 degrees.

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Q: Find a general solution of the differential equation: у" — 4у" — Зу'+ 18у %3D Зе*

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Q: ear differential equation y' - (sinx)y = 2sinx is:

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Q: Solve the differential equation by using variation parameter method y''-6y'+9y=8+e^-9x

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Q: (D² -1)y= 2(1-e-2*)-1/2

A: By Using  variation of parameter

Q: 1. The general solution of the differential equation = (x³ 2x tan ly) (1 + y?) is-

A: Introduction :

Q: his is a practice question from my Differential Equations course: Show directly that the given…

A: Given functionA set of functions are linearly independent if Wronskian is non zero.and dependent if…

Q: Example 11 : Find the equation of the curve satisfying the differential eguatio- dy (1+x?)+2xy= 4x²…

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Q: r*y" + 31?y" =1+r

A: Consider the provided D.E,

Q: 3x?y" + 11ry' – 3y = 10x – 10.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.